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Volumn 27, Issue 1, 2008, Pages 33-47

What "counts" as algebra in the eyes of preservice elementary teachers?

Author keywords

Algebra; Elementary mathematics; Teacher conceptions

Indexed keywords


EID: 44649194477     PISSN: 07323123     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmathb.2007.12.002     Document Type: Article
Times cited : (27)

References (52)
  • 1
    • 0001413504 scopus 로고
    • The mathematical understandings that prospective teachers bring to teacher education
    • Ball D.L. The mathematical understandings that prospective teachers bring to teacher education. The Elementary School Journal 90 4 (1990) 449-466
    • (1990) The Elementary School Journal , vol.90 , Issue.4 , pp. 449-466
    • Ball, D.L.1
  • 2
    • 0003141787 scopus 로고
    • Prospective elementary and secondary teachers' understanding of division
    • Ball D.L. Prospective elementary and secondary teachers' understanding of division. Journal for Research in Mathematics Education 21 2 (1990) 132-144
    • (1990) Journal for Research in Mathematics Education , vol.21 , Issue.2 , pp. 132-144
    • Ball, D.L.1
  • 3
    • 0001867944 scopus 로고
    • Research on teaching mathematics: Making subject-matter knowledge part of the equation
    • Brophy J. (Ed), JAI Press, Greenwich, CT
    • Ball D.L. Research on teaching mathematics: Making subject-matter knowledge part of the equation. In: Brophy J. (Ed). Advances in research on teaching Vol. 2 (1991), JAI Press, Greenwich, CT 1-48
    • (1991) Advances in research on teaching , vol.2 , pp. 1-48
    • Ball, D.L.1
  • 4
    • 0000410629 scopus 로고
    • The subject-matter preparation of teachers
    • Houston W.R. (Ed), ASIN, Prentice Hall
    • Ball D.L., and McDiarmid G.W. The subject-matter preparation of teachers. In: Houston W.R. (Ed). Handbook of research on teacher education (1990), ASIN, Prentice Hall 437-449
    • (1990) Handbook of research on teacher education , pp. 437-449
    • Ball, D.L.1    McDiarmid, G.W.2
  • 5
    • 27744583706 scopus 로고    scopus 로고
    • Characterizing a classroom practice that promotes algebraic reasoning
    • Blanton M.L., and Kaput J.J. Characterizing a classroom practice that promotes algebraic reasoning. Journal for Research in Mathematics Education 36 5 (2005) 412-446
    • (2005) Journal for Research in Mathematics Education , vol.36 , Issue.5 , pp. 412-446
    • Blanton, M.L.1    Kaput, J.J.2
  • 7
    • 85084901350 scopus 로고    scopus 로고
    • Learning to teach
    • Calfee R., and Berliner D. (Eds), Macmillan, New York
    • Borko H., and Putnam R.T. Learning to teach. In: Calfee R., and Berliner D. (Eds). Handbook of educational psychology (1996), Macmillan, New York 673-725
    • (1996) Handbook of educational psychology , pp. 673-725
    • Borko, H.1    Putnam, R.T.2
  • 8
    • 0002926797 scopus 로고    scopus 로고
    • Cognitively guided instruction: A knowledge base for reform in primary mathematics education
    • Carpenter T.P., Fennema E., and Franke M.L. Cognitively guided instruction: A knowledge base for reform in primary mathematics education. Elementary School Journal 97 1 (1996) 3-20
    • (1996) Elementary School Journal , vol.97 , Issue.1 , pp. 3-20
    • Carpenter, T.P.1    Fennema, E.2    Franke, M.L.3
  • 10
    • 0011964676 scopus 로고    scopus 로고
    • National Center for Improving Student Learning and Achievement in Mathematics and Science, University of Wisconsin-Madison
    • Carpenter T.P., and Levi L. Developing conceptions of algebraic reasoning in the primary grades (2000), National Center for Improving Student Learning and Achievement in Mathematics and Science, University of Wisconsin-Madison
    • (2000) Developing conceptions of algebraic reasoning in the primary grades
    • Carpenter, T.P.1    Levi, L.2
  • 15
    • 29144460676 scopus 로고    scopus 로고
    • On appreciating the cognitive complexity of school algebra: Research on algebra learning and directions of curricular change
    • Kilpatrick J., Martin W.G., and Schifter D. (Eds), National Council of Teachers of Mathematics, Reston, VA
    • Chazan D., and Yerulshamy M. On appreciating the cognitive complexity of school algebra: Research on algebra learning and directions of curricular change. In: Kilpatrick J., Martin W.G., and Schifter D. (Eds). A research companion to principles and standards for school mathematics (2003), National Council of Teachers of Mathematics, Reston, VA 123-135
    • (2003) A research companion to principles and standards for school mathematics , pp. 123-135
    • Chazan, D.1    Yerulshamy, M.2
  • 18
    • 0002473869 scopus 로고
    • Preservice teachers' misconceptions in solving verbal problems in multiplication and division
    • Graeber A.O., Tirosh D., and Glover R. Preservice teachers' misconceptions in solving verbal problems in multiplication and division. Journal for Research in Mathematics Education 20 1 (1989) 95-102
    • (1989) Journal for Research in Mathematics Education , vol.20 , Issue.1 , pp. 95-102
    • Graeber, A.O.1    Tirosh, D.2    Glover, R.3
  • 20
    • 38249037057 scopus 로고
    • Effects of subject-matter knowledge in the teaching of biology and physics
    • Hashweh M.Z. Effects of subject-matter knowledge in the teaching of biology and physics. Teaching and Teacher Education 3 2 (1987) 109-120
    • (1987) Teaching and Teacher Education , vol.3 , Issue.2 , pp. 109-120
    • Hashweh, M.Z.1
  • 21
    • 0009156254 scopus 로고
    • Who is minding the mathematics content? A case study of a fifth-grade teacher
    • Heaton R.M. Who is minding the mathematics content? A case study of a fifth-grade teacher. The Elementary School Journal 93 2 (1992) 153-162
    • (1992) The Elementary School Journal , vol.93 , Issue.2 , pp. 153-162
    • Heaton, R.M.1
  • 24
    • 27744488361 scopus 로고    scopus 로고
    • Transforming algebra from an engine of inequity to an engine of mathematical power by "algebrafying" the K-12 curriculum
    • Fennel S. (Ed), National Research Council, National Academy Press, Washington, DC
    • Kaput J.J. Transforming algebra from an engine of inequity to an engine of mathematical power by "algebrafying" the K-12 curriculum. In: Fennel S. (Ed). The nature and role of algebra in the K-14 curriculum: Proceedings of the national symposium (1998), National Research Council, National Academy Press, Washington, DC 25-26
    • (1998) The nature and role of algebra in the K-14 curriculum: Proceedings of the national symposium , pp. 25-26
    • Kaput, J.J.1
  • 25
    • 44649110004 scopus 로고    scopus 로고
    • Research on the development of algebraic reasoning in the context of elementary mathematics: A brief historical overview
    • Mewborn D.S., Sztajn P., White D.Y., Wiegel H.G., Bryant R.L., and Nooney K. (Eds), ERIC, Columbus, OH
    • Kaput J.J. Research on the development of algebraic reasoning in the context of elementary mathematics: A brief historical overview. In: Mewborn D.S., Sztajn P., White D.Y., Wiegel H.G., Bryant R.L., and Nooney K. (Eds). Proceedings of the twenty-fourth annual meeting of the international group for the psychology of mathematics education Vol. 1 (2002), ERIC, Columbus, OH 120-122
    • (2002) Proceedings of the twenty-fourth annual meeting of the international group for the psychology of mathematics education , vol.1 , pp. 120-122
    • Kaput, J.J.1
  • 26
    • 84909358896 scopus 로고    scopus 로고
    • Algebrafying the elementary mathematics experience in a teacher-centered, systemic way
    • Romberg T., Carpenter T., and Dremock F. (Eds), Lawrence Erlbaum, Mahwah, NJ
    • Kaput J.J., and Blanton M.L. Algebrafying the elementary mathematics experience in a teacher-centered, systemic way. In: Romberg T., Carpenter T., and Dremock F. (Eds). Understanding mathematics and science matters (2005), Lawrence Erlbaum, Mahwah, NJ 99-125
    • (2005) Understanding mathematics and science matters , pp. 99-125
    • Kaput, J.J.1    Blanton, M.L.2
  • 28
    • 0002050688 scopus 로고
    • The learning and teaching of school algebra
    • Grouws D.A. (Ed), Macmillan, New York
    • Kieran C. The learning and teaching of school algebra. In: Grouws D.A. (Ed). Handbook of research on mathematics teaching and learning (1992), Macmillan, New York 390-419
    • (1992) Handbook of research on mathematics teaching and learning , pp. 390-419
    • Kieran, C.1
  • 29
    • 44649198190 scopus 로고    scopus 로고
    • Kieran, C. (1996). The changing face of school algebra: Invited Lecture. ICME-8 Congress, Spain.
    • Kieran, C. (1996). The changing face of school algebra: Invited Lecture. ICME-8 Congress, Spain.
  • 31
    • 44649117829 scopus 로고    scopus 로고
    • Koehler, J. (2004). Learning to think relationally: Thinking relationally to learn. Unpublished Dissertation, University of Wisconsin-Madison, Madison, WI.
    • Koehler, J. (2004). Learning to think relationally: Thinking relationally to learn. Unpublished Dissertation, University of Wisconsin-Madison, Madison, WI.
  • 33
    • 0009254295 scopus 로고    scopus 로고
    • Students' understanding of algebraic notation: 11-15
    • MacGregor M., and Stacey K. Students' understanding of algebraic notation: 11-15. Educational Studies in Mathematics 33 1 (1997) 1-19
    • (1997) Educational Studies in Mathematics , vol.33 , Issue.1 , pp. 1-19
    • MacGregor, M.1    Stacey, K.2
  • 34
    • 0002593363 scopus 로고
    • Why staying one chapter ahead doesn't really work: Subject-specific pedagogy
    • Reynolds M.C. (Ed), Pergamon Press, Oxford
    • McDiarmid G.W., Ball D.L., and Anderson C.W. Why staying one chapter ahead doesn't really work: Subject-specific pedagogy. In: Reynolds M.C. (Ed). Knowledge base for the beginning teacher (1989), Pergamon Press, Oxford 193-205
    • (1989) Knowledge base for the beginning teacher , pp. 193-205
    • McDiarmid, G.W.1    Ball, D.L.2    Anderson, C.W.3
  • 35
    • 44649149399 scopus 로고    scopus 로고
    • Mewborn, D. S. (2000). An analysis of the research on K-8 teachers' mathematical knowledge. Paper presented at the American Educational Research Association, New Orleans.
    • Mewborn, D. S. (2000). An analysis of the research on K-8 teachers' mathematical knowledge. Paper presented at the American Educational Research Association, New Orleans.
  • 37
    • 44649168629 scopus 로고    scopus 로고
    • National Center for Research on Teacher Learning. (1991). Findings from the teacher education and learning to teach study: Final report. East Lansing, MI: NCRTL, Michigan State University.
    • National Center for Research on Teacher Learning. (1991). Findings from the teacher education and learning to teach study: Final report. East Lansing, MI: NCRTL, Michigan State University.
  • 39
    • 0347860121 scopus 로고
    • Intermediate teachers' knowledge of rational number concepts
    • Fennema E., Carpenter T.P., and Lamon S.J. (Eds), SUNY Press, Albany, NY
    • Post T.R., Harel G., Behr M.J., and Lesh R. Intermediate teachers' knowledge of rational number concepts. In: Fennema E., Carpenter T.P., and Lamon S.J. (Eds). Integrating research on teaching and learning mathematics (1991), SUNY Press, Albany, NY 177-198
    • (1991) Integrating research on teaching and learning mathematics , pp. 177-198
    • Post, T.R.1    Harel, G.2    Behr, M.J.3    Lesh, R.4
  • 40
    • 0000759498 scopus 로고
    • Teaching mathematics for understanding: Discussing case studies of four fifth-grade teachers
    • Putnam R.T., Heaton R.M., Prawat R.S., and Remillard J.T. Teaching mathematics for understanding: Discussing case studies of four fifth-grade teachers. The Elementary School Journal 93 2 (1992) 213-228
    • (1992) The Elementary School Journal , vol.93 , Issue.2 , pp. 213-228
    • Putnam, R.T.1    Heaton, R.M.2    Prawat, R.S.3    Remillard, J.T.4
  • 41
    • 27744481982 scopus 로고    scopus 로고
    • Reasoning about operations: Early algebraic thinking in grades K-6
    • Stiff L.V. (Ed), National Council of Teachers of Mathematics, Reston, VA
    • Schifter D. Reasoning about operations: Early algebraic thinking in grades K-6. In: Stiff L.V. (Ed). Developing mathematical reasoning in grades K-12 (1999), National Council of Teachers of Mathematics, Reston, VA 62-81
    • (1999) Developing mathematical reasoning in grades K-12 , pp. 62-81
    • Schifter, D.1
  • 42
    • 0002546637 scopus 로고
    • On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin
    • Sfard A. On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin. Educational Studies in Mathematics 22 (1991) 1-36
    • (1991) Educational Studies in Mathematics , vol.22 , pp. 1-36
    • Sfard, A.1
  • 43
    • 21144471172 scopus 로고
    • Prospective elementary teachers' knowledge of division
    • Simon M.A. Prospective elementary teachers' knowledge of division. Journal for Research in Mathematics Education 24 3 (1993) 233-254
    • (1993) Journal for Research in Mathematics Education , vol.24 , Issue.3 , pp. 233-254
    • Simon, M.A.1
  • 44
    • 21844524057 scopus 로고
    • Building and understanding multiplicative relationships: A study of prospective elementary teachers
    • Simon M.A., and Blume G.W. Building and understanding multiplicative relationships: A study of prospective elementary teachers. Journal for Research in Mathematics Education 25 5 (1994) 472-494
    • (1994) Journal for Research in Mathematics Education , vol.25 , Issue.5 , pp. 472-494
    • Simon, M.A.1    Blume, G.W.2
  • 45
    • 0001609558 scopus 로고
    • Subject-matter knowledge and elementary instruction: A case from functions and graphing
    • Stein M.K., Baxter J.A., and Leinhardt G. Subject-matter knowledge and elementary instruction: A case from functions and graphing. American Educational Research Journal 27 4 (1990) 639-663
    • (1990) American Educational Research Journal , vol.27 , Issue.4 , pp. 639-663
    • Stein, M.K.1    Baxter, J.A.2    Leinhardt, G.3
  • 46
    • 33750352875 scopus 로고    scopus 로고
    • Another look at word problems
    • Stephens A.C. Another look at word problems. Mathematics Teacher 96 1 (2003) 63-66
    • (2003) Mathematics Teacher , vol.96 , Issue.1 , pp. 63-66
    • Stephens, A.C.1
  • 47
    • 33750282308 scopus 로고    scopus 로고
    • Equivalence and relational thinking: Preservice elementary teachers' awareness of opportunities and misconceptions
    • Stephens A.C. Equivalence and relational thinking: Preservice elementary teachers' awareness of opportunities and misconceptions. Journal of Mathematics Teacher Education 9 3 (2006) 249-278
    • (2006) Journal of Mathematics Teacher Education , vol.9 , Issue.3 , pp. 249-278
    • Stephens, A.C.1
  • 48
    • 44649187716 scopus 로고    scopus 로고
    • Preservice elementary and middle school teachers' conceptions of algebra revealed through the use of exemplary curriculum materials
    • Mewborn D.S., Sztajn P., White D.Y., Wiegel H.G., Bryant R.L., and Nooney K. (Eds), ERIC, Columbus, OH
    • Stump S.L., and Bishop J. Preservice elementary and middle school teachers' conceptions of algebra revealed through the use of exemplary curriculum materials. In: Mewborn D.S., Sztajn P., White D.Y., Wiegel H.G., Bryant R.L., and Nooney K. (Eds). Proceedings of the twenty-fourth annual meeting of the international group for the psychology of mathematics education Vol. l4 (2002), ERIC, Columbus, OH 1903-1914
    • (2002) Proceedings of the twenty-fourth annual meeting of the international group for the psychology of mathematics education , vol.l4 , pp. 1903-1914
    • Stump, S.L.1    Bishop, J.2
  • 50
    • 44649106798 scopus 로고    scopus 로고
    • Swafford, J. O., Otto, A. D., & Lubinski, C. A. (unpublished manuscript). Content preparation for teaching early algebra.
    • Swafford, J. O., Otto, A. D., & Lubinski, C. A. (unpublished manuscript). Content preparation for teaching early algebra.
  • 51
    • 0036861468 scopus 로고    scopus 로고
    • The impact of preservice teachers' content knowledge on their evaluation of students' strategies for solving arithmetic and algebra word problems
    • Van Dooren W., Verschaffel L., and Onghena P. The impact of preservice teachers' content knowledge on their evaluation of students' strategies for solving arithmetic and algebra word problems. Journal for Research in Mathematics Education 33 5 (2002) 319-351
    • (2002) Journal for Research in Mathematics Education , vol.33 , Issue.5 , pp. 319-351
    • Van Dooren, W.1    Verschaffel, L.2    Onghena, P.3
  • 52
    • 0001099801 scopus 로고
    • Peering at history through different lenses: The role of disciplinary perspectives in teaching history
    • Wilson S.M., and Wineburg S.S. Peering at history through different lenses: The role of disciplinary perspectives in teaching history. Teachers College Record 89 4 (1988) 525-539
    • (1988) Teachers College Record , vol.89 , Issue.4 , pp. 525-539
    • Wilson, S.M.1    Wineburg, S.S.2


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